TY - JOUR
T1 - Simulations of transverse vibrations of an axially moving string
T2 - A modified difference approach
AU - Chen, Li Qun
AU - Zhao, Wei Jia
AU - Zu, Jean W.
PY - 2005/7/26
Y1 - 2005/7/26
N2 - A modified finite difference approach to simulate transverse vibrations of an axially moving string is presented. The stress is treated as a new unknown in discretization of the spatial variable. A set of differential-algebraic equations is established based on the discreted governing equation and the constitutive relation. For linear vibrations, a conserved functional is employed to test the algorithm, and the 1, 2, 3, 4-term truncated modal analytical solutions are compared with the numerical solution. For the free nonlinear vibration, a new conserved functional is used to check the algorithm. Effects of the transport speed on the free and forced nonlinear vibrations are numerically investigated.
AB - A modified finite difference approach to simulate transverse vibrations of an axially moving string is presented. The stress is treated as a new unknown in discretization of the spatial variable. A set of differential-algebraic equations is established based on the discreted governing equation and the constitutive relation. For linear vibrations, a conserved functional is employed to test the algorithm, and the 1, 2, 3, 4-term truncated modal analytical solutions are compared with the numerical solution. For the free nonlinear vibration, a new conserved functional is used to check the algorithm. Effects of the transport speed on the free and forced nonlinear vibrations are numerically investigated.
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U2 - 10.1016/j.amc.2004.07.006
DO - 10.1016/j.amc.2004.07.006
M3 - Article
AN - SCOPUS:20444497690
SN - 0096-3003
VL - 166
SP - 596
EP - 607
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -